JEE Main20252 Apr 2025Morning ShiftPhysicsMechanical Properties of SolidsActual
A steel wire of length 2 m and Young's modulus 2.0 10¹¹ Nm ⁻² is stretched by a force. If Poisson ratio and transverse strain for the wire are 0.2 and 10⁻³ respectively, then the elastic potential energy density of the wire is _______ 10^5 (in SI units)
Correct answer
0
Step-by-step solution
aligned & =2 ~m ; Y =2 10¹¹ ~N ~m ^2 & aligned =- ( r r ) ( ) & = 1 ( r r ) & = 1 0.2 (10⁻³ ) aligned aligned aligned & =5 10⁻³ & aligned u = 1 2 y _ ^2 & = 1 2 2 10¹¹ [5 10⁻³ ]^2 & =25 aligned aligned